Jazz near Time Square

I am making a rare (3rd time in my life) visit to NYC next week. I have one day (Thur 7/21) to go hear some good jazz. I found allaboutjazz.com which tells me who's going to be where, but the names and places aren't familiar. Can someone give me suggestions for what's within a mile or so of Time Square?

Iridium is only a few block from Times Square, I think that's the nearest "name" club but taxis and trains make it easy to get around.

My suggestion is go online and check out some of the clubs' web sites....you can even get advance tickets online these days. I went to NYC for four days last fall and had advance tickets for shows all four nights before I left.

Why the 20 block restriction? If you'd venture out 40 blocks (another 5 minutes or so on the ACE/BDFV) you'd be in the West Village, where there are quite a few more clubs (Small's, 55 Bar, Village Vanguard, Fat Cat, Arthur's, Arturo's, Blue Note,...). About 20 minutes the other way, 50 blocks away, are Cleopatra's Needle and Smoke.

You'll want to get away from Times Square to get a decent meal (for less than $1,000), anyhoo...

Ray has a good point. But, given your arbitrary restriction, BIRDLAND is on 44th Street between 8th and 7th Ave, SOFIA's is not really a jazz club, but they have great duos and trios- that's 46th between 7th and 8th. BRYANT PARK is between 42nd and 43rd Streets and between 6th and 5th Ave.
KITANO is 38th St. at Park Ave.

I put my artificial 1-mile perimeter around Time Square for two reasons: (1) in addition to being a jazz fan, I love musical theater. I was/am hoping to be able to go to a show and also catch some music within walking distance before or after the show; (2) My midwestern upbringing is that when you go out, you drive your car and park it at meter in front of the club or in the parking lot next to it. I know it doesn't work that way in NYC, but Im just not used to relying on cabs or subways to get me around.

I spent an hour at lunchtime checking out the clubs in the West Village, and the clubs within my 1-mile perimeter and OMG, I had no idea! Im not sure yet where Im gonna try to go, but getting lists of clubs that are in different geographic areas is VERY helpfulthanks.

You'd be amazed at how quickly the subway gets you around town. Given your 'show and gig' in one evening plan, I wouldn't count out anything in Manhattan. From the Village to Times Square is bout 5-6 minutes once you're on the train.